Consider an experiment that consists of counting the number of a particles given off in a one-second interval by one gram of radioactive material. If we know from past experience that, on the average, 3 such a-particles are given off, what is a good approximation to the probability that at least 2 a-particles will appear?
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A: The table regarding pedestrian deaths that were caused by automobile accidents, is given.
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- Given an experiment with H0:μ=35,Ha:μ<35H0:μ=35,Ha:μ<35, and a possible correct value of 32, you obtain a sample statistic of x¯=33x¯=33. After doing analysis, you realize that the sample size n is actually larger than you first thought. Which of the following results from reworking with the increase in sample size? a.Decrease in probability of a Type I error; increase in probability of a Type II error; increase in power b.Decrease in probability of a Type I error; decrease in probability of a Type II error; increase in power c.Increase in probability of a Type I error; increase in probability of a Type II error; decrease in power. d.Increase in probability of a Type I error; decrease in probability of a Type II error; decrease in power. e.Decrease in probability of a Type I error; decrease in probability of a Type II error; decrease in power.The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 30 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is O. (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? A. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. B. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to than 0.05. OC. It is unlikely for such a combined sample to test positive, because the probability that the combined sample…From the U.S. Census Bureau and the article “U.S. Prison Population Falls for Third Year” by B. Montopoli of CBS News, we found that about 1 in every 200 Americans are in prison. Suppose 500 Americans are randomly sampled. Let X represents the number of Americans currently in prison. n = λ = (Round to two decimal places) Calculate the probability that three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX. P(X = 3) = Calculate the probability that at least three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX. P (X ≥ 3) = 1 – P (X < 3) = Calculate E(X) = µ. Round your answer to two decimal places, e.g., 0.XX or .XX. µ = E(X) = Calculate the standard deviation of X. Round your answer to two decimal places, e.g., 0.XX or .XX. σ =
- According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.59 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.44. If we presume that these two events are independent, what is the probability of both happening next year? Answer in decimal form. Round to 4 decimal places as needed.According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.23 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.97if we presume that these two events are independent, what is the probability of both happening next year? Answer in decimal form. Round to 4 decimal places as needed.An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of this evidence depends on the chance of a false positive-that is, the probability that the bureau finds a match, given that the lead at the crime scene and the lead in the possession of the suspect are actually from two different "melts," or sources. To estimate the false positive rate, the bureau collected 1,809 bullets that the agency was confident all came from different melts. Then, using its established criteria, the bureau examined every possible pair of bullets and found 606 matches. Use this information to compute the chance of a false positive. Is this probability small enough for you to have confidence in the agency's forensic evidence? Choose the correct answer below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The chance of a false positive…
- Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inc 0.06 inches. What is the probability that the mean daily precipitation will be 0.11 inches or less for a random sample of 4 many years)? Carry your intermediate computations to at least four decimal places. Round your answer to at least three de 0 XThe probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 14 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? O A. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. O B. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. OC. It is not unlikely for such a combined sample to test positive, because the probability that the…
- The failure time of a component is a random variable with an exponential distribution that has a mean of 41.9 years. What is the probability that the component will still be working after 135 years? Your answer: O 0.078 O 0.040 O 0.648 O 0.725 O 0.323 O 0.158 O 0.897 O 0.231 O 0.083 O 0.728Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition). x = age 60 61 62 63 64 P(death at this age) 0.00562 0.00842 0.00950 0.01065 0.01165 Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance? (b) Repeat part (a) for ages 61, 62, 63, and 64. Age Expected Cost 61 $ 62 $ 63 $ 64 $ What would be the total expected cost to Big Rock Insurance over the years 60 through 64? If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy? If Big Rock Insurance Company charges $5000 for the policy, how much profit does the…